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Finding the Fourth Proportional to 25,649.28, 38,473.92 and 11,798.40

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Solution

The fourth proportional to 25,649.28, 38,473.92 and 11,798.40 is: 17,697.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,649.28 : 38,473.92 = 11,798.40 : x
  2. Step 2: Convert to fraction form
    25,649.28/38,473.92 = 11,798.40/x
  3. Step 3: Cross multiply
    25,649.28x = 38,473.92 × 11,798.40
  4. Step 4: Simplify right side
    25,649.28x = 453,930,697.73
  5. Step 5: Solve for x
    x = 453,930,697.73/25,649.28
  6. Step 6: Final answer
    x = 17,697.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.